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Finding the Fourth Proportional to 137,117.60, 205,676.40 and 81,821.60

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Solution

The fourth proportional to 137,117.60, 205,676.40 and 81,821.60 is: 122,732.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,117.60 : 205,676.40 = 81,821.60 : x
  2. Step 2: Convert to fraction form
    137,117.60/205,676.40 = 81,821.60/x
  3. Step 3: Cross multiply
    137,117.60x = 205,676.40 × 81,821.60
  4. Step 4: Simplify right side
    137,117.60x = 16,828,772,130.24
  5. Step 5: Solve for x
    x = 16,828,772,130.24/137,117.60
  6. Step 6: Final answer
    x = 122,732.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.